13679064 has 128 divisors (see below), whose sum is σ = 44352000. Its totient is φ = 3825792.

The previous prime is 13679063. The next prime is 13679077. The reversal of 13679064 is 46097631.

13679064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13679063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125442 + ... + 125550.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 2^13679064 is an apocalyptic number.

13679064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13679064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176000).

13679064 is an abundant number, since it is smaller than the sum of its proper divisors (30672936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13679064 is a wasteful number, since it uses less digits than its factorization.

13679064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 13679064 is about 3698.5218669085. The cubic root of 13679064 is about 239.1583015497.

The spelling of 13679064 in words is "thirteen million, six hundred seventy-nine thousand, sixty-four".